I am in
H-1B status now, and may end the current job due to the project funding. What
happens to my H-1B status after the job termination, if I can not find a new
employer to sponsor another H-1B for me?

Answer:

If no
other visa petition is filed and you can not find another job in time, your job
termination as a H-1B holder means that you are out of status. If you remain in
the United States after the expiration date on the I-94 card, or the date the
USCIS determines the individual to be out of status, "unlawful
presence"starts accruing.

Under
current law, a short period of unlawful presence only requires you to depart the
United States before obtaining a new visa status and reentering.